Existence of particular solutions in the generalised restricted problem of three bodies with variable masses

Details Existence of particular solutions in the generalised restricted problem of three bodies with variable masses Existence of particular solutions in the generalised restricted problem of three bodies with variable masses

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.174..151e&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 174, no. 1, Dec. 1990, p. 151-154.

Statistics

Computation

2

Computational Astrophysics, Many Body Problem, Variable Mass Systems, Center Of Mass, Equations Of Motion, Polar Coordinates

Scientific paper

The restricted problem of three bodies with variable masses is considered. It is assumed that the infinitesimal body is axisymmetric with constant mass and the finite bodies are spherical with variable masses such that the ratio of their masses remains constant. The motion of the finite bodies are determined by the Gylden-Meshcherskii (1952) problem. It is seen that the collinear, triangular, and coplanar solutions do not exist, but these solutions exist when the infinitesimal body be a spherical.

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